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## Which expression represents the algebraic phrase “nine times a number plus thirteen”? A. 9 – y + 13 B. 9 + y – 13 C. 9y + 13 D. 13y + 9

Answer:  The correct option is (C) 9y + 13.

Step-by-step explanation:  We are given to select the expression that represents the following statement :

“nine times a number plus thirteen”

Let the number be represented by y.

Then, nine times the number is written as follows :

Since we are to add 13, so the final expression is given by

Thus, the required expression is

Option (C) is CORRECT.

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## The equilibrium of 2H2O( g. 2H2( g. + O2( g. at 2,000 K has a Keq value of 5.31 x 10-10. What is the mass action expression for this system?

The equilibrium of 2H2O( g. 2H2( g. + O2( g. at 2,000 K has a Keq value of 5.31 x 10-10. What is the mass action expression for this system?

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## Which expression is equivalent to 17s – 10 + 3(2s + 1)

Which expression is equivalent to 17s – 10 + 3(2s + 1)

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## Simplify the expression in exponential notation. 2 • a • b • a • b

Simplify the expression in exponential notation. 2 • a • b • a • b

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## Which expression is equivalent to 7a^2b + 10a^2b^2 + 14a^2b^3? A) ab(7a^2 + 10ab + 14b^2) B) a^2b(7 + 10b + 14b^2) C) 7a^2(b + 3b^2 + 7b^3) D) 7a^2b^3(b^2 + 3b + 7)

Option: B is the correct answer.

B)

Step-by-step explanation:

We are given an algebraic expression in terms of the variable ‘x’ and ‘y’ as:

Now we are asked to find the expression that is equivalent to the above expression.

We could clearly observe that each of the term in the expression has a common term as:

Hence, we take out common this common term and write the remaining expression in  bracket as:

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## What is the value of the expression 9+4n-1 when n = 3

What is the value of the expression 9+4n-1 when n = 3

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## Which of the following is a fixed, often colorful expression whose meaning is not tied to the meaning of its individual words? colloquialism idiom slang jargon

Which of the following is a fixed, often colorful expression whose meaning is not tied to the meaning of its individual words? colloquialism idiom slang jargon

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## The side of a square measures (3x − 6) units. Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

A. The area of a square is given as:

A = s^2

Where s is a measure of a side of a square. s = (2 x – 5) therefore,

A = (2 x – 5)^2

Expanding,

A = 4 x^2 – 20 x + 25

B. The degree of a polynomial is the highest exponent of the variable x, in this case 2. Therefore the expression obtained in part A is of 2nd degree.

Furthermore, polynomials are classified according to the number of terms in the expression. There are 3 terms in the expression therefore it is classified as a trinomial.

C. The closure property demonstrates that during multiplication or division, the coefficients and power of the variables are affected while during multiplication or division, only the coefficients are affected while the power remain the same.

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## Write an algebraic expression for the phrase: 6 more than the product of 8 and n

Write an algebraic expression for the phrase: 6 more than the product of 8 and n

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## Explain how to translate the phrase into an algebraic expression. four times the difference of eight and a number

Explain how to translate the phrase into an algebraic expression. four times the difference of eight and a number

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## Explain how to write and evaluate an algebraic expression. one more than the product of a number and seven, decreased by five; evaluate when n = 6

Step-by-step explanation:

Replace key words with variables, numbers, and operations. More than is addition, product is multiplication, and decreased by is subtraction. The constants are 1, 7, and 5. The expression is 1 + 7n – 5. To evaluate the expression, substitute 6 in for the variable, and then use order of operations to simplify. The value when n = 6 is 38.

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## What expression is equivalent to (x^27y)^13

What expression is equivalent to (x^27y)^13

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## Which property was used to simply the expression 3c+9+4c=3c+4c+9

Which property was used to simply the expression 3c+9+4c=3c+4c+9

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## Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same amount of books and reach a total donation of 300 books. How many books will Hannah have in her collection after her donation. Write your answer as an expression.

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same amount of books and reach a total donation of 300 books. How many books will Hannah have in her collection after her donation. Write your answer as an expression.

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## Use positive rational exponents to rewrite the following expression: the square root of x times the 5th root of x

Use positive rational exponents to rewrite the following expression: the square root of x times the 5th root of x

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## Write an example of an algebraic expression that has a nonnegative value regardless of the variable

Write an example of an algebraic expression that has a nonnegative value regardless of the variable

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## Simplify the expression. square root of 10-4 square root of 10

Simplify the expression. square root of 10-4 square root of 10

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## Each of the following correctly match an English phrase with a mathematical expression except _____. a) a number times seven, 7x b) a number subtracted from seven, 7 – x c) the sum of a number and seven, 7 + x d) a number divided by 7, 7/x

Each of the following correctly match an English phrase with a mathematical expression except _____. a) a number times seven, 7x b) a number subtracted from seven, 7 – x c) the sum of a number and seven, 7 + x d) a number divided by 7, 7/x

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## What is an expression for the amount of money you can save if you use 5 over 6 of your wages for spending money? Evaluate your expression for weekly wages of \$60, \$120, \$180, and \$300.

If ur spending 5/6 of ur pay, u r saving 1/6
so ur expression would be 1/6x…where x is ur weekly wages

60…  1/6(60) = 60/6 = 10…u save 10
120.. 1/6(120) = 120/6 = 20…u save 20
180…1/6(180) = 180/6 = 30 …u save 30
300.. 1/6(300) = 300/6 = 50…u save 50

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## Jared is building a rectangular prism garden box and wants to use soil that he already has in his shed. He decides that he wants the length of the garden box to be 2 feet longer than the width and the height to be 1 foot shorter than the width. Create an expression in terms of x, where x is the width of the garden, to demonstrate the volume of the garden box.

Jared is building a rectangular prism garden box and wants to use soil that he already has in his shed. He decides that he wants the length of the garden box to be 2 feet longer than the width and the height to be 1 foot shorter than the width. Create an expression in terms of x, where x is the width of the garden, to demonstrate the volume of the garden box.

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## Which expression does not factor? m3 + 1 m3 – 1 m2 + 1 m2 – 1

Option C. is the right option

Step-by-step explanation:

In this question we will take each option and try to factorize them.

Option A.

(m³ + 1) = (m + 1)(m² + 1² – 1.m) = (m + 1).(m² – m + 1)

[ since (a³ + b³) = (a + b).(a² + b² – ab)]

So can be factored.

Option B.

(m³ – 1) = (m – 1).(m² + m + 1)

[ since a3 + b³= (m – 1)(m² + m + 1)

So expression can be factored.

Option C.

(m² + 1) This expression is in the factored form.

Option D.

(m² – 1) = (m + 1)(m – 1)

[(a² – b²) = (a – b)(a + b)]

So expression can be factored.

Finally the answer is Option C.

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## Which expression is equivalent to -28 xy + 35 y

Which expression is equivalent to -28 xy + 35 y

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## For her cellular service, Vera pays \$32 a month, plus \$0.75 for each minute over the allowed minutes in her plan. Write an expression that shows how much Vera’s bill will be for one month.

Well, “m” represent \$32 she spends a month and “t” be the \$0.75 for each minute will be.

First, since the bill is for one month, we can place “m” by itself with no add-ons to it since it’s been stated only a month is going by and it stays \$32. However, depending of “t” the price can change without the original monthly plan changing, so we write it like m + (t . x). “x” represent every minute spent over the time limit, so it’s “t” times “x” since whatever “t” is is determined by “x”. If “x” is 0, then “t” is 0 since nothing is added and it’d remain \$32. If say “x” was 10 however, that would mean 10 minutes have gone over the limit, so 0.75 x 10 would be \$7.50 + \$32 making it \$39.50.
Note: “m” and “t” can be different if you choose.

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## The coefficients of the expression 2×3 – 5×2 + x are _____. 3, 2, 0 2, 5, 0 2, -5, 1 -2, 5, -1

The coefficients of the expression 2×3 – 5×2 + x are _____. 3, 2, 0 2, 5, 0 2, -5, 1 -2, 5, -1

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